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Finding the Third Proportional to 270,247 and 592,382

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Solution

The third proportional to 270,247 and 592,382 is: 1,298,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,247 : 592,382 = 592,382 : x
  2. Step 2: Convert to fraction form
    270,247/592,382 = 592,382/x
  3. Step 3: Cross multiply
    270,247x = 592,382 × 592,382
  4. Step 4: Simplify right side
    270,247x = 350,916,433,924
  5. Step 5: Solve for x
    x = 350,916,433,924/270,247
  6. Step 6: Final answer
    x = 1,298,502.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.